Dynamical analysis of rumor spreading model in homogeneous complex networks

In this paper, an I2S2R rumor spreading model in complex networks is established and analyzed. Firstly, the threshold value is acquired to identify the existence and stability of rumor-free equilibria state and rumor equilibria state by using the next generation matrix method. Secondly, based on Rou...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 359; pp. 374 - 385
Main Authors Li, Jiarong, Jiang, Haijun, Yu, Zhiyong, Hu, Cheng
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2019
Subjects
Complex network
Global stability
Rumor spreading
Sensitivity analysis
Sensitivity analysis
Global stability
Rumor spreading
Complex network
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Summary:In this paper, an I2S2R rumor spreading model in complex networks is established and analyzed. Firstly, the threshold value is acquired to identify the existence and stability of rumor-free equilibria state and rumor equilibria state by using the next generation matrix method. Secondly, based on Routh–Hurwitz judgment, Lyapunov stability theory and LaSalle’s invariance principle, the local and global stability of rumor-free/rumor equilibrium points are discussed. Thirdly, the sensitivity analysis about the threshold value is given to analyze the impact of model parameters on rumor propagation. Finally, some numerical simulations are presented to illustrate the validity and feasibility of corresponding results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.04.076